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Finding the Fourth Proportional to 4,666.60, 6,999.90 and 4,378.60

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Solution

The fourth proportional to 4,666.60, 6,999.90 and 4,378.60 is: 6,567.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.60 : 6,999.90 = 4,378.60 : x
  2. Step 2: Convert to fraction form
    4,666.60/6,999.90 = 4,378.60/x
  3. Step 3: Cross multiply
    4,666.60x = 6,999.90 × 4,378.60
  4. Step 4: Simplify right side
    4,666.60x = 30,649,762.14
  5. Step 5: Solve for x
    x = 30,649,762.14/4,666.60
  6. Step 6: Final answer
    x = 6,567.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.